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Finding the Fourth Proportional to 23,145, 34,717.52 and 5,614.83

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Solution

The fourth proportional to 23,145, 34,717.52 and 5,614.83 is: 8,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145 : 34,717.52 = 5,614.83 : x
  2. Step 2: Convert to fraction form
    23,145/34,717.52 = 5,614.83/x
  3. Step 3: Cross multiply
    23,145x = 34,717.52 × 5,614.83
  4. Step 4: Simplify right side
    23,145x = 194,932,944.75
  5. Step 5: Solve for x
    x = 194,932,944.75/23,145
  6. Step 6: Final answer
    x = 8,422.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.